In this case, the court looked to the actual wording of the contract and found that the movie rights were not part of the "right to exhibit photoplays of the series." The rule used by the court to determine the definition of the Wagners' rights was the:

plain meaning rule or literal rule

Explanation:

This is is one of three rules of statutory construction traditionally applied by English courts (the other two are mischief rule and the golden rule). The plain meaning rule dictates that statutes are to be interpreted using the ordinary meaning of the language of the statute.

when the language is unambiguous and clear on its face the meaning of the statute or contract must be determined from the language of the statute or contract and not from extrinsic evidence.

x = 7

step-by-step explanation:

equating the expression for area to the given area

2x² - 7x - 4 = 45 ( subtract 45 from both sides )

2x² - 7x - 49 = 0 ← in standard form

to factor consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 2 × - 49 = - 98 and sum = - 7

the factors are - 14 and + 7

use these factors to split the middle term

2x² - 14x + 7x - 49 = 0 ( factor the first/second and third/fourth terms )

2x(x - 7) + 7(x - 7) = 0 ← factor out (x - 7)

(x - 7)(2x + 7) = 0

equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

2x + 7 = 0 ⇒ 2x = - 7 ⇒ x = -

thus the positive value for x is x = 7